BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Geometric Analysis and Partial Differential Equati
ons seminar
SUMMARY:Green's function estimates and the Poisson equatio
n. - Ovidiu Munteanu\, University of Connecticut
DTSTART;TZID=Europe/London:20191118T150000
DTEND;TZID=Europe/London:20191118T160000
UID:TALK133813AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/133813
DESCRIPTION:The Green's function of the Laplace operator has b
een widely studied in geometric analysis. Manifold
s admitting a positive Green's function are called
nonparabolic. By Li and Yau\, sharp pointwise dec
ay estimates are known for the Green's function on
nonparabolic manifolds that have nonnegative Ricc
i curvature. The situation is more delicate when c
urvature is not nonnegative everywhere. While poin
twise decay estimates are generally not possible i
n this case\, we have obtained sharp integral esti
mates for the Green's function on manifolds admitt
ing a Poincare inequality and an appropriate (nega
tive) lower bound on Ricci curvature. This has app
lications to solving the Poisson equation\, and to
the study of the structure at infinity of such ma
nifolds.
LOCATION:CMS\, MR13
CONTACT:Jessica Guerand
END:VEVENT
END:VCALENDAR